Theorems · Theorem · combinatorics
Configuration.ProjectivePlane.pointCount_eq
∀ (P : Type u_1) {L : Type u_2} [inst : Membership P L] [inst_1 : Configuration.ProjectivePlane P L] [Finite P]
[Finite L] (l : L), Configuration.pointCount P l = Configuration.ProjectivePlane.order P L + 1- Defined in
- Mathlib.Combinatorics.Configuration
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finitestatement and proof · cited by 3,029
- Configuration.ProjectivePlanestatement and proof · cited by 14
- Configuration.pointCountstatement · cited by 11
- Configuration.ProjectivePlane.orderstatement · cited by 6
- Configuration.Dualproof · cited by 6
- Configuration.ProjectivePlane.lineCount_eqproof · cited by 3
- Configuration.ProjectivePlane.Dual.orderproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Configuration.ProjectivePlane.one_lt_orderproof · cited by 2
- Configuration.ProjectivePlane.card_pointsproof · cited by 1
- Configuration.ProjectivePlane.two_lt_pointCountproof · cited by 0